MATH 140 -- Intermediate Algebra -- Exercise Solutions
Section: 2.3

2.  Solve W = gh for h
      Solution:
     Divide both sides of the equation by g

      ( Note that when doing this we assume that g is not 0 and in fact the result will be true only if g is not 0)
      

4.  Solve   
      Solution:  
      Divide both sides of the equation by wh

      ( Note that when doing this we assume that wh is not 0 and in fact the result will be true only if wh is not 0)
      

6.   Solve 2x + 3y = 17 for y
      Solution:
2x + 3y = 17
                     
 Add - 2x to both sides of the equation
3y = -2x + 17
                    
 Divide both sides of the equation by 3

8.   Solve A = 3M - 2N for N
      Solution:
A = 3M - 2N
                     
Add - 3m to both sides of the equation
A - 3M = - 2N
                  
  Divide both sides of the equation by -2

which may be rewritten as

10.   Solve y = mx + b for x
         Solution:
y = mx + b
                   
Subtract b from both sides (Add - b to both sides)
y - b = mx
                   
Divide both sides of the equation by m
    
               ( Note that when doing this we assume that m is not 0 and in fact the result will be true only if m is not 0)

12.  Solve A = Prt + P for P
        Solution:
A = Prt + P
                    
Use the Distributive Law to factor P from the sum on the right side of the equation
A = P(rt + 1)
               
    Divide both sides of the equation by rt + 1
    
              ( Note that when doing this we assume that rt + 1is not 0 and in fact the result will be true only if rt + 1 is not 0)

14.  Solve A = 5H(b + B) for B
       Solution:
A = 5H(b + B)
                       Use the Distributive Law to do the multiplication on the right side of the equation
A = 5Hb + 5HB
                       Subtract 5Hb from both sides of the equation
A - 5Hb = 5HB
                        Divide both sides of the equation by 5H
                       ( Note that when doing this we assume that H is not 0 and in fact the result will be true only if H is not 0)

16.  
         Solution:

                                
Subtract from both sides of the equation

                               
 Divide both sides of the equation by

18.  Solve A = P(1 + rt) for t
        Solution:
A = P(1 + rt)
             
          Use the Distributive Law to do the multiplication on the right side of the equation.
A = P + Prt
                      
 Subtract P from both sides of the equation
A - P = Prt
                      
Divide both side of the equation by Pr